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Finding the Fourth Proportional to 261.04, 392.28 and 214.96

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Solution

The fourth proportional to 261.04, 392.28 and 214.96 is: 323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 392.28 = 214.96 : x
  2. Step 2: Convert to fraction form
    261.04/392.28 = 214.96/x
  3. Step 3: Cross multiply
    261.04x = 392.28 × 214.96
  4. Step 4: Simplify right side
    261.04x = 84,324.51
  5. Step 5: Solve for x
    x = 84,324.51/261.04
  6. Step 6: Final answer
    x = 323.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.